If $-5\leq a \leq -1$ and $1 \leq b \leq 3$,what is the least possible value of$\displaystyle\left(\frac{1}{a}+\frac{1}{b}\right)\left(\fr

Not sure if I am answering your question because I am reading it as the smallest possible amount for 1/a +1/b.

 

The way to solve this is by picking the smallest numbers you can choose, which are -5 and 1.

 

It would solve as 1/-5 + 1/1= 1-1/5

 

The final answer would be 4/5.

 

Hopefully this helps.